Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
The variables $x$ and $y$ are linked by $y = ab^{x}$, with $a$ and $b$ constant. A graph of $\ln y$ against $x$ is a straight line that goes through $(0.75, 1.70)$ and $(1.53, 2.18)$, as the diagram shows.
(main)[5]
Determine the values of $a$ and $b$, with each answer correct to $2$ decimal places.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write down or show $\ln y = \ln a + x\ln b$” …